Home / 1,154.09-1,731.12-288.40

Finding the Fourth Proportional to 1,154.09, 1,731.12 and 288.40

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Solution

The fourth proportional to 1,154.09, 1,731.12 and 288.40 is: 432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.09 : 1,731.12 = 288.40 : x
  2. Step 2: Convert to fraction form
    1,154.09/1,731.12 = 288.40/x
  3. Step 3: Cross multiply
    1,154.09x = 1,731.12 × 288.40
  4. Step 4: Simplify right side
    1,154.09x = 499,255.01
  5. Step 5: Solve for x
    x = 499,255.01/1,154.09
  6. Step 6: Final answer
    x = 432.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.